The role of the Jacobi last multiplier and isochronous systems

Partha Guha, Anindya Ghose Choudhury

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We employ Jacobi's last multiplier (JLM) to study planar differential systems. In particular, we examine its role in the transformation of the temporal variable for a system of ODEs originally analysed by Calogero-Leyvraz in course of their identification of isochronous systems. We also show that JLM simplifies to a great extent the proofs of isochronicity for the Liénard-type equations.

Original languageBritish English
Pages (from-to)917-927
Number of pages11
JournalPramana - Journal of Physics
Volume77
Issue number5
DOIs
StatePublished - Nov 2011

Keywords

  • Commuting vector fields
  • Isochronous systems
  • Jacobi last multiplier
  • Liénard equation

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